Finding the Fourth Proportional to 9,112.10, 13,665.31 and 2,538.81

Step by Step Solution

1. Step 1: Write the proportion equation
   9,112.10 : 13,665.31 = 2,538.81 : x
2. Step 2: Convert to fraction form
   9,112.10/13,665.31 = 2,538.81/x
3. Step 3: Cross multiply
   9,112.10x = 13,665.31 × 2,538.81
4. Step 4: Simplify right side
   9,112.10x = 34,693,619.33
5. Step 5: Solve for x
   x = 34,693,619.33/9,112.10
6. Step 6: Final answer
   x = 3,807.43